£89.98

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

Algebra

Price data last checked 149 day(s) ago - refreshing...

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

Same price for 12 weeks. Today is much like next week.

£90 for 87 days straight · last change was Oct 2025

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 582 days • 582 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 582 days • 6 price levels

Days at Price

Current Price

Price Analysis

Most common price: £90 (357 days, 61.3%)

Price range: £84 - £132

Price levels: 6 different prices over 582 days

Description

A groundbreaking contribution to number theory that unifies classical and modern results This book develops a new theory of p-adic modular forms on modular curves, extending Katz's classical theory to the supersingular locus. The main novelty is to move to infinite level and extend coefficients to period sheaves coming from relative p-adic Hodge theory. This makes it possible to trivialize the Hodge bundle on the infinite-level modular curve by a "canonical differential" that restricts to the Katz canonical differential on the ordinary Igusa tower. Daniel Kriz defines generalized p-adic modular forms as sections of relative period sheaves transforming under the Galois group of the modular curve by weight characters. He introduces the fundamental de Rham period, measuring the position of the Hodge filtration in relative de Rham cohomology. This period can be viewed as a counterpart to Scholze's Hodge-Tate period, and the two periods satisfy a Legendre-type relation. Using these periods, Kriz constructs splittings of the Hodge filtration on the infinite-level modular curve, defining p-adic Maass-Shimura operators that act on generalized p-adic modular forms as weight-raising operators. Through analysis of the p-adic properties of these Maass-Shimura operators, he constructs new p-adic L-functions interpolating central critical Rankin-Selberg L-values, giving analogues of the p-adic L-functions of Katz, Bertolini-Darmon-Prasanna, and Liu-Zhang-Zhang for imaginary quadratic fields in which p is inert or ramified. These p-adic L-functions yield new p-adic Waldspurger formulas at special values.

Product Specifications

Format: hardcover
ASIN: 0691216479
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 09 November 2021
Listed Since: 18 April 2021

Barcode

No barcode data available

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

Same price for 12 weeks. Today is much like next week.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

The Geometry and Cohomology of Some Simple Shimura Varieties.: 151 (Annals of Mathematics Studies, 151)

GEOMETRIC MODULAR FORMS AND ELLIPTIC CURVES (2ND EDITION)

Modular Forms and Special Cycles on Shimura Curves. (AM-161) (Annals of Mathematics Studies)

Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts: (AMS-215) (Annals of Mathematics Studies, 215)

Elementary Modular Iwasawa Theory: 16 (Series On Number Theory And Its Applications)

Lectures on Hilbert Modular Varieties and Modular Forms (CRM Monograph) (CRM Monograph Series)

Local Fields: 67 (Graduate Texts in Mathematics, 67)

Arithmetic Fundamental Groups and Noncommutative Algebra Book

Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence: 56 (Cambridge Studies in Advanced Mathematics, Series Number 56)

Rigid Character Groups, Lubin-Tate Theory, and $( arphi ,Gamma )$-Modules (Memoirs of the American Mathematical Society)

Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime (AM-176) (Annals of Mathematics Studies)

Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic: 320 (Progress in Mathematics, 320)

Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic: 320 (Progress in Mathematics, 320)

Cyclotomic Fields I and II: 121 (Graduate Texts in Mathematics, 121)

The Gross-Zagier Formula on Shimura Curves (Annals of Mathematics Studies): (AMS-184)

Berkeley Lectures on p-adic Geometry: (AMS-207) (Annals of Mathematics Studies, 207)

Traces of Hecke Operators (Mathematical Surveys & Monographs) (Mathematical Surveys and Monographs)

Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics)

Berkeley Lectures on p-adic Geometry: (AMS-207) (Annals of Mathematics Studies, 207)

Galois Groups over ?: Proceedings of a Workshop Held March 23–27, 1987: 16 (Mathematical Sciences Research Institute Publications, 16)

Lectures on N_X(p): 11 (Research Notes in Mathematics)

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)

Weil`s Conjecture for Function Fields – Volume I (AMS–199) (Annals of Mathematics Studies, 199)